I used Wolfram Alpha to evaluate:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]lim tan[(2nπ)/(1 + 8n)][/itex]

n->infinity

it says that it can use the continuity of tan(n) at n = π / 4 to rewrite the aforementioned function as:

[itex]tan[lim ((2nπ)/(1 + 8n))][/itex]

n->infinity

What is it talking about? I was taught to use certain properties of trig functions as they pertain to limits to solve limits of trig. functions, but this is a bit beyond me.

P.S. I'm not using WA to do my homework or anything, I just wanted to see how one goes about solving a trig. limit like this, as I felt that it wasn't very straighforward.

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# Homework Help: Using Continuity of a Trig. Function to Rewrite It

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